{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hello World!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "一级标题\n",
    "===="
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "二级标题\n",
    "----"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用#的标题：\n",
    "# 一级标题\n",
    "## 二级标题\n",
    "### 三级标题"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "段落换行（俩空格加回车）    \n",
    "\n",
    "其他段落"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*斜体文字*  \n",
    "_斜体文字_  \n",
    "**粗体文字**  \n",
    "__粗体文字__  \n",
    "***粗斜体文字***  \n",
    "___粗斜体文字___  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "分割线  \n",
    "* * * * *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "~~删除线~~"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下划线  \n",
    "<u>带下划线的html风格文本</u>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "脚注：  \n",
    "我是普通文本 [^我是脚注]  \n",
    "\n",
    "[^我是脚注]: 我是脚注内容\n",
    "## 注意！脚注所在地和脚注内容标注之间需要换行（双空格+回车）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 无序列表:\n",
    "+ 23333\n",
    "* 455555\n",
    "* 6566565\n",
    "- 43343\n",
    "- 677777  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 有序列表：\n",
    "1. 有序列表的标题\n",
    "    - 而子列表只需要在前面加-和四个空格"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 区块大概长这样：\n",
    "> 我是区块  \n",
    "> 我是这个区块的内容  \n",
    "1. 我是区块里面的列表\n",
    "  - 我是区块里的列表的子元素\n",
    ">> 我是子区块"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 列表中也可以使用区块：\n",
    "* 列表中使用区块\n",
    "  > 内容1  \n",
    "  > 内容2\n",
    "* 第二项"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用反点标记代码\n",
    "`print(23333)`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用缩进标记代码块\n",
    "    for i in range(10):\n",
    "        print(i)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用反点+语言标记代码块\n",
    "```python\n",
    "for i in range(10):\n",
    "    print(i)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 链接怎么写？\n",
    "[我是链接](http://www.baidu.com)\n",
    "无链接名的链接：  \n",
    "<http://www.baidu.com>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MarkDown图片  \n",
    "### 开头一个感叹号 !\n",
    "### 接着一个方括号，里面放上图片的替代文字\n",
    "### 接着一个普通括号，里面放上图片的网址，最后还可以用引号包住并加上选择性的 'title' 属性的文字。  \n",
    "![RUNOOB 图标](http://static.runoob.com/images/runoob-logo.png \"RUNOOB\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用变量的写法写图片（之前链接变量那种写法）\n",
    "### 可能jupyter不太支持\n",
    "当然，你也可以像网址那样对图片网址使用变量:\n",
    "\n",
    "这个链接用 1 作为网址变量  [RUNOOB][1].\n",
    "然后在文档的结尾位变量赋值（网址）\n",
    "\n",
    "[1]: http://static.runoob.com/images/runoob-logo.png"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 也可以直接插入img元素（h5）写法\n",
    "<img src=\"http://static.runoob.com/images/runoob-logo.png\" width=\"50%\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 表格与对齐：\n",
    "* 几种对齐方式：\n",
    "  - 左对齐 -:\n",
    "  - 右对齐 :-\n",
    "  - 居中对齐 :-:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| 左对齐 | 右对齐 | 居中对齐 |\n",
    "| :-----| ----: | :----: |\n",
    "| 单元格 | 单元格 | 单元格 |\n",
    "| 单元格 | 单元格 | 单元格 |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 使用html:\n",
    "使用 <kbd>Ctrl</kbd>+<kbd>Alt</kbd>+<kbd>Del</kbd> 重启电脑"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 特殊字符转义：\n",
    "之前加反斜杠"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 关于公式：\n",
    "当你需要在编辑器中插入数学公式时，可以使用两个美元符 $$ 包裹 TeX 或 LaTeX 格式的数学公式来实现。提交后，问答和文章页会根据需要加载 Mathjax 对数学公式进行渲染。如：\n",
    "\n",
    "$$\n",
    "\\mathbf{V}_1 \\times \\mathbf{V}_2 =  \\begin{vmatrix} \n",
    "\\mathbf{i} & \\mathbf{j} & \\mathbf{k} \\\\\n",
    "\\frac{\\partial X}{\\partial u} &  \\frac{\\partial Y}{\\partial u} & 0 \\\\\n",
    "\\frac{\\partial X}{\\partial v} &  \\frac{\\partial Y}{\\partial v} & 0 \\\\\n",
    "\\end{vmatrix}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 关于公式我的尝试：\n",
    "行内公式：一个\\$  \n",
    "\n",
    "$x^4$\n",
    "$x_1$  \n",
    "### 组合（采用{}括起内容）：\n",
    "${16}_{8}O{2+}_{2}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 下划线："
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\underline{x+y}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 标签：\n",
    "$x^2 = 5\\tag{11}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上大括号，符号：\\overbrace{算式}，如：$\\overbrace{a+b+c+d}^{2.0}$  \n",
    "下大括号，符号：\\underbrace{算式}，如：$a+\\underbrace{b+c}_{1.0}+d$  \n",
    "上位符号，符号：\\stacrel{上位符号}{基位符号}，如：$\\vec{x}\\stackrel{\\mathrm{def}}{=}{x_1,\\dots,x_n}$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 占位符："
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "两个quad空格，符号：\\qquad，如：$x \\qquad y$  \n",
    "quad空格，符号：\\quad，如：$x \\quad y$  \n",
    "大空格，符号\\，如：$x \\ y$  \n",
    "中空格，符号\\:，如：$x : y$  \n",
    "小空格，符号\\,，如：$x , y$  \n",
    "没有空格，符号``，如：$xy$  \n",
    "紧贴，符号\\!，如：$x ! y$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 定界符与组合\n",
    "括号，符号：（）\\big(\\big) \\Big(\\Big) \\bigg(\\bigg) \\Bigg(\\Bigg)，如：$（）\\big(\\big) \\Big(\\Big) \\bigg(\\bigg) \\Bigg(\\Bigg)$  \n",
    "中括号，符号：[]，如：$[x+y]$  \n",
    "大括号，符号：\\{ \\}，如：${x+y}$  \n",
    "自适应括号，符号：\\left \\right，如：$\\left(x\\right)$，$\\left(x{yz}\\right)$  \n",
    "组合公式，符号：{上位公式 \\choose 下位公式}，如：${n+1 \\choose k}={n \\choose k}+{n \\choose k-1}$  \n",
    "组合公式，符号：{上位公式 \\atop 下位公式}，如：$\\sum_{k_0,k_1,\\ldots>0 \\atop k_0+k_1+\\cdots=n}A_{k_0}A_{k_1}\\cdots$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 四则运算\n",
    "加法运算，符号：+，如：$x+y=z$  \n",
    "减法运算，符号：-，如：$x-y=z$  \n",
    "加减运算，符号：\\pm，如：$x \\pm y=z$  \n",
    "减甲运算，符号：\\mp，如：$x \\mp y=z$  \n",
    "乘法运算，符号：\\times，如：$x \\times y=z$  \n",
    "点乘运算，符号：\\cdot，如：$x \\cdot y=z$  \n",
    "星乘运算，符号：\\ast，如：$x \\ast y=z$  \n",
    "除法运算，符号：\\div，如：$x \\div y=z$  \n",
    "斜法运算，符号：/，如：$x/y=z$  \n",
    "分式表示，符号：\\frac{分子}{分母}，如：$\\frac{x+y}{y+z}$  \n",
    "分式表示，符号：{分子} \\voer {分母}，如：${x+y} \\over {y+z}$  \n",
    "绝对值表示，符号：||，如：$|x+y|$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 高级运算\n",
    "平均数运算，符号：\\overline{算式}，如：$\\overline{xyz}$  \n",
    "开二次方运算，符号：\\sqrt，如：$\\sqrt x$  \n",
    "开方运算，符号：\\sqrt[开方数]{被开方数}，如：$\\sqrt[3]{x+y}$  \n",
    "对数运算，符号：\\log，如：$\\log(x)$  \n",
    "极限运算，符号：\\lim，如：$\\lim^{x \\to \\infty}_{y \\to 0}{\\frac{x}{y}}$  \n",
    "极限运算，符号：\\displaystyle \\lim，如：$\\displaystyle \\lim^{x \\to \\infty}_{y \\to 0}{\\frac{x}{y}}$  \n",
    "求和运算，符号：\\sum，如：$\\sum^{x \\to \\infty}_{y \\to 0}{\\frac{x}{y}}$  \n",
    "求和运算，符号：\\displaystyle \\sum，如：$\\displaystyle \\sum^{x \\to \\infty}_{y \\to 0}{\\frac{x}{y}}$  \n",
    "积分运算，符号：\\int，如：$\\int^{\\infty}_{0}{xdx}$  \n",
    "积分运算，符号：\\displaystyle \\int，如：$\\displaystyle \\int^{\\infty}_{0}{xdx}$  \n",
    "微分运算，符号：\\partial，如：$\\frac{\\partial x}{\\partial y}$  \n",
    "矩阵表示，符号：\\begin{matrix} \\end{matrix}，如：$\\left[ \\begin{matrix} 1 &2 &\\cdots &4\\5 &6 &\\cdots &8\\\\vdots &\\vdots &\\ddots &\\vdots\\13 &14 &\\cdots &16\\end{matrix} \\right]$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 逻辑运算\n",
    "等于运算，符号：=，如：$x+y=z$  \n",
    "大于运算，符号：>，如：$x+y>z$  \n",
    "小于运算，符号：<，如：$x+y<z$  \n",
    "大于等于运算，符号：\\geq，如：$x+y \\geq z$  \n",
    "小于等于运算，符号：\\leq，如：$x+y \\leq z$  \n",
    "不等于运算，符号：\\neq，如：$x+y \\neq z$  \n",
    "不大于等于运算，符号：\\ngeq，如：$x+y \\ngeq z$  \n",
    "不大于等于运算，符号：\\not\\geq，如：$x+y \\not\\geq z$  \n",
    "不小于等于运算，符号：\\nleq，如：$x+y \\nleq z$  \n",
    "不小于等于运算，符号：\\not\\leq，如：$x+y \\not\\leq z$  \n",
    "约等于运算，符号：\\approx，如：$x+y \\approx z$  \n",
    "恒定等于运算，符号：\\equiv，如：$x+y \\equiv z$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 集合运算\n",
    "属于运算，符号：\\in，如：$x \\in y$  \n",
    "不属于运算，符号：\\notin，如：$x \\notin y$  \n",
    "不属于运算，符号：\\not\\in，如：$x \\not\\in y$  \n",
    "子集运算，符号：\\subset，如：$x \\subset y$  \n",
    "子集运算，符号：\\supset，如：$x \\supset y$  \n",
    "真子集运算，符号：\\subseteq，如：$x \\subseteq y$  \n",
    "非真子集运算，符号：\\subsetneq，如：$x \\subsetneq y$  \n",
    "真子集运算，符号：\\supseteq，如：$x \\supseteq y$  \n",
    "非真子集运算，符号：\\supsetneq，如：$x \\supsetneq y$  \n",
    "非子集运算，符号：\\not\\subset，如：$x \\not\\subset y$  \n",
    "非子集运算，符号：\\not\\supset，如：$x \\not\\supset y$  \n",
    "并集运算，符号：\\cup，如：$x \\cup y$  \n",
    "交集运算，符号：\\cap，如：$x \\cap y$  \n",
    "差集运算，符号：\\setminus，如：$x \\setminus y$  \n",
    "同或运算，符号：\\bigodot，如：$x \\bigodot y$  \n",
    "同与运算，符号：\\bigotimes，如：$x \\bigotimes y$  \n",
    "实数集合，符号：\\mathbb{R}，如：\\mathbb{R}  \n",
    "自然数集合，符号：\\mathbb{Z}，如：\\mathbb{Z}  \n",
    "空集，符号：\\emptyset，如：$\\emptyset$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 数学符号\n",
    "无穷，符号：\\infty，如：$\\infty$  \n",
    "虚数，符号：\\imath，如：$\\imath$  \n",
    "虚数，符号：\\jmath，如：$\\jmath$  \n",
    "数学符号，符号\\hat{a}，如：$\\hat{a}$  \n",
    "数学符号，符号\\check{a}，如：$\\check{a}$  \n",
    "数学符号，符号\\breve{a}，如：$\\breve{a}$  \n",
    "数学符号，符号\\tilde{a}，如：$\\tilde{a}$  \n",
    "数学符号，符号\\bar{a}，如：$\\bar{a}$  \n",
    "矢量符号，符号\\vec{a}，如：$\\vec{a}$  \n",
    "数学符号，符号\\acute{a}，如：$\\acute{a}$  \n",
    "数学符号，符号\\grave{a}，如：$\\grave{a}$  \n",
    "数学符号，符号\\mathring{a}，如：$\\mathring{a}$  \n",
    "一阶导数符号，符号\\dot{a}，如：$\\dot{a}$  \n",
    "二阶导数符号，符号\\ddot{a}，如：$\\ddot{a}$  \n",
    "上箭头，符号：\\uparrow，如：$\\uparrow$  \n",
    "上箭头，符号：\\Uparrow，如：$\\Uparrow$  \n",
    "下箭头，符号：\\downarrow，如：$\\downarrow$  \n",
    "下箭头，符号：\\Downarrow，如：$\\Downarrow$  \n",
    "左箭头，符号：\\leftarrow，如：$\\leftarrow$  \n",
    "左箭头，符号：\\Leftarrow，如：$\\Leftarrow$  \n",
    "右箭头，符号：\\rightarrow，如：$\\rightarrow$  \n",
    "右箭头，符号：\\Rightarrow，如：$\\Rightarrow$  \n",
    "底端对齐的省略号，符号：\\ldots，如：$1,2,\\ldots,n$  \n",
    "中线对齐的省略号，符号：\\cdots，如：$x_1^2 + x_2^2 + \\cdots + x_n^2$  \n",
    "竖直对齐的省略号，符号：\\vdots，如：$\\vdots$  \n",
    "斜对齐的省略号，符号：\\ddots，如：$\\ddots$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 希腊字母：\n",
    "\n",
    "| 字母 | 实现 | 字母 | 实现 |\n",
    "|:-|:-|:-|:-|\n",
    "|A|A|α|\\alhpa|\n",
    "|B|B|β|\\beta|\n",
    "|Γ|\\Gamma|γ|\\gamma|\n",
    "|Δ|\\Delta|δ|\\delta|\n",
    "|E|E|ϵ|\\epsilon|\n",
    "|Z|Z|ζ|\\zeta|\n",
    "|H|H|η|\\eta|\n",
    "|Θ|\\Theta|θ|\\theta|\n",
    "|I|I|ι|\\iota|\n",
    "|K|K|κ|\\kappa|\n",
    "|Λ|\\Lambda|λ|\\lambda|\n",
    "|M|M|μ|\\mu|\n",
    "|N|N|ν|\\nu|\n",
    "|Ξ|\\Xi|ξ|\\xi|\n",
    "|O|O|ο|\\omicron|\n",
    "|Π|\\Pi|π|\\pi|\n",
    "|P|P|ρ|\\rho|\n",
    "|Σ|\\Sigma|σ|\\sigma|\n",
    "|T|T|τ|\\tau|\n",
    "|Υ|\\Upsilon|υ|\\upsilon|\n",
    "|Φ|\\Phi|ϕ|\\phi|\n",
    "|X|X|χ|\\chi|\n",
    "|Ψ|\\Psi|ψ|\\psi|\n",
    "|Ω|\\v|ω|\\omega|"
   ]
  }
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